Question
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5. \( \frac{2}{a} \times 34 \)

Ask by Burgess Stewart. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The simplified form of the expression is \( \frac{68}{a} \).

Solution

To simplify the expression: \[ \frac{2}{a} \times 34 \] **Step-by-Step Solution:** 1. **Multiply the Numerators:** Multiply the numerator of the first fraction by the whole number: \[ 2 \times 34 = 68 \] 2. **Keep the Denominator:** The denominator remains the same: \[ a \] 3. **Combine the Results:** Place the product over the original denominator: \[ \frac{68}{a} \] **Final Simplified Form:** \[ \frac{68}{a} \]

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Extra Insights

To solve \( \frac{2}{a} \times 34 \), you simply multiply the fraction by 34. This results in: \[ \frac{2 \times 34}{a} = \frac{68}{a} \] So, the expression simplifies to \( \frac{68}{a} \). Now, if you know the value of \( a \), you can substitute it in to find a numerical answer! Ever thought about how fractions can pop up everywhere in the real world? From cooking recipes that require half or a quarter of ingredients to determining discounts, fractions make our lives more efficient. They are integral in various fields, like finance for calculating interest rates, or in science for measuring concentrations in solutions. Fractions are not just numbers; they are tools for clarity in everyday tasks! To avoid mistakes when working with fractions, it’s essential to keep track of your variables and ensure they aren’t zero (as you can’t divide by zero!). Another common mistake is overlooking simplification. Always look to reduce your fractions for a cleaner, more understandable answer—nobody likes a messy number!

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